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Finding the Fourth Proportional to 507.53, 761.15 and 260.57

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Solution

The fourth proportional to 507.53, 761.15 and 260.57 is: 390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.53 : 761.15 = 260.57 : x
  2. Step 2: Convert to fraction form
    507.53/761.15 = 260.57/x
  3. Step 3: Cross multiply
    507.53x = 761.15 × 260.57
  4. Step 4: Simplify right side
    507.53x = 198,329.05
  5. Step 5: Solve for x
    x = 198,329.05/507.53
  6. Step 6: Final answer
    x = 390.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.